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2 years ago

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Mathematics

1 answer:

Norma-Jean [14]2 years ago

6 0

Answer:

3) 5 centimeters

Step-by-step explanation:

Plug 3 and 4 into the formula for the Pythagorean Theorem. You get 5.

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What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?

DedPeter [7]

f(x) = 112 - kx
f(-3) = 112 - k(-3)
f(-3) = 112 - (-3k)
f(-3) = 112 + 3k
121 = 112 + 3k
- 112 - 112
      9 = 3k
      3    3
      3 = k

6 0

3 years ago

the endpoints of the side of rectangle ABCD in the coordinate plane are A (3,7)and B(4,1).Find the equation of the line that con

Elden [556K]

Answer:

1,6

Step-by-step explanation:

5 0

3 years ago

The table above shows a number of each type of item in Harry’s liquor what’s the ratio of paper clips to the total number of ite

SVETLANKA909090 [29]

Answer:

its 3:5

Step-by-step explanation: if you don't see the answer talk with your teacher because I did it and I got 3:5

6 0

3 years ago

HELP PLEASE!!! 10 PTS!!

allsm [11]

Answer:

m∠DEC = 78°

Step-by-step explanation:

Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.

If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.

AC = AD (Given)

$\angle ADC\cong \angle ACD$

$m\angle ADC=m\angle ACD$

According to the angle sum property, the sum of interior angles of a triangle is 180°.

$m\angle ADC+m\angle ACD+m\angle DAC=180$

$m\angle ACD+m\angle ACD+44=180$

$2m\angle ACD=180-44$

$2m\angle ACD=136$

Divide both sides by 2.

$m\angle ACD=68$

CE bisects ∠ACD.

$m\angle ACE=m\angle DCE=\dfrac{\angle ACD}{2}$

$m\angle ACE=m\angle DCE=\dfrac{68}{2}$

$m\angle ACE=m\angle DCE=34$

Use angle sum property in triangle CDE,

$m\angle CDE+m\angle DCE+m\angle DEC=180$

$68+34+m\angle DEC=180$

$102+m\angle DEC=180$

Subtract 102 from both sides.

$m\angle DEC=180-102$

$m\angle DEC=78$

Therefore, the measure of angle DEC is 78°.

6 0

3 years ago

Gloria's pontoon boat holds 24 gallons of gas.

Darya [45]

Answer:

ok so if the girl added 13 gallons of gas 11 gallons were already there, if 14 gallons then 10 gallons were there, if 13,4 then 10,6 gallons were already there

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3 years ago